Ergodicity of a Nonlinear Stochastic SIRS Epidemic Model with Regime-Switching Diffusions

Ergodicity of a Nonlinear Stochastic SIRS Epidemic Model with Regime-Switching Diffusions

In this paper, taking both white noises and colored noises into consideration, a nonlinear stochastic SIRS epidemic model with regime switching is explored. The threshold parameter Rs is found, and we investigate sufficient conditions for the existence of the ergodic stationary distribution of the p...

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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2020, Vol.2020 (2020), p.1-10
Hauptverfasser: Liu, Jinlei, Chi, Mengnan, Li, Juan, Liu, Hongxia, Zhao, Wencai
Format: Artikel
Sprache:eng
Schlagworte:
Communicable diseases
Epidemics
Ergodic processes
Infectious diseases
Markov analysis
Mathematical models
Medical research
Medicine, Experimental
Noise
Numerical analysis
Population
Stochastic models
Switching
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Zusammenfassung:In this paper, taking both white noises and colored noises into consideration, a nonlinear stochastic SIRS epidemic model with regime switching is explored. The threshold parameter Rs is found, and we investigate sufficient conditions for the existence of the ergodic stationary distribution of the positive solution. Finally, some numerical simulations are also carried out to demonstrate the analytical results.
ISSN:1076-2787
1099-0526
DOI:10.1155/2020/4574510